Hi, welcome to AK and congratulations on your MX.
The problems you have can likely be solved by proper cleaning of the switch contacts and controls with the proper cleaning fluids. DeOxit is a popular cleaner and is good for cleaning fixed contacts (like the RCA connectors) but should not be used on the rotating controls. F5 FaderLube should be used for those and I like to use F5 on sliding switch contacts as well.
The problem is that oxidation causes a film to form on the contact surfaces that can interrupt electrical current. This thread might be helpful if you want to do that cleaning yourself:
https://audiokarma.org/forums/index.php?threads/the-idiots-guide-to-using-deoxit-revisited.207005/. As a temp measure, try working the switches a bit. Try moving the tape monitor switch on and off several times and the same with the source selector and other switches. Doing that may rub off some oxidation and fix the intermittent audio but also means the contacts should really be properly cleaned.
But having said that, the MX is like 60 years old and has electronic components (capacitors, resistors, etc.) with design lives of maybe half that time or less. So a restoration service is pretty much needed and recommended (unless such has been done to this unit recently). The service should include replacing many, most or all the capacitors, any resistors or other stuff that have drifted out of spec. and any bad tubes. I would not replace all the tubes, only those that don't test well. The service should also include complete cleaning of the switches, controls and contacts and proper alignment of the FM tuner. Note that tuner alignment requires a different set of skills and test equipment than the rest of this work and so you should find a tech that knows how to do that and knows old McIntosh tuners. The cost you mention is worth the price as your MX will come back being one of the sweetest sounding preamps out there and will work properly for a long time. (Although periodic cleaning of controls and switches will be needed.)
So which MX do you have? There are 3 versions that are described here:
http://www.mcintoshcompendium.com/mp-tunerpre-amps.htm
What city / area are you in; which McIntosh service center are you planning to use.
Also, what power amp are you using?
Any pictures of your new find?